Inverse perspective transform from zero-curvature curve points application to the localization of some generalized cylinders

Since the creation of GR and subsequent works in cosmology, the question of the curvature of space in the Universe is considered one of the most important and debated to this day. This is evident, because the curvature of space depends whether the Universe expands, contracts or is static. These discussions allowed the author to propose a paradoxical idea: simultaneous existence in the Universe of three interconnected space-times (positive, negative and zero curvature) and on this basis, to develop a theory in which each space-time plays its own role and develops in a strict accordance with its sign of curvature. The three space-time model of the structure of the Universe, proposed by the author, allows to solve many fundamental problems of modern cosmology and theoretical physics and creates the basis for building a unified physical theory (including one that unites GR and quantum physics).

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Negative Gaussian curvature induces significant suppression of thermal conduction in carbon crystals

Nanoscale ◽

10.1039/c7nr04944g ◽

2017 ◽

Vol 9 (37) ◽

pp. 14208-14214 ◽

Cited By ~ 19

Author(s):

Zhongwei Zhang ◽

Jie Chen ◽

Baowen Li

Keyword(s):

Gaussian Curvature ◽

Thermal Conduction ◽

Negative Curvature ◽

Positive Curvature ◽

Significant Suppression ◽

Carbon Allotropes ◽

Zero Curvature ◽

Negative Gaussian Curvature

From the mathematic category of surface Gaussian curvature, carbon allotropes can be classified into three types: zero curvature, positive curvature, and negative curvature.

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Can accelerated expansion of the universe be due to spacetime vorticity?

Modern Physics Letters A ◽

10.1142/s0217732318502401 ◽

2018 ◽

Vol 33 (40) ◽

pp. 1850240

Author(s):

Babur M. Mirza

Keyword(s):

Magnetic Field ◽

Accelerated Expansion ◽

Newtonian Gravity ◽

Hubble’S Parameter ◽

Cosmic Expansion ◽

Zero Curvature ◽

Expansion Of The Universe ◽

General Relativistic ◽

The Universe ◽

The Magnetic Field

We present here a general relativistic mechanism for accelerated cosmic expansion and the Hubble’s parameter. It is shown that spacetime vorticity coupled to the magnetic field density in galaxies causes the galaxies to recede from one another at a rate equal to the Hubble’s constant. We therefore predict an oscillatory universe, with zero curvature, without assuming violation of Newtonian gravity at large distances or invoking dark energy/dark matter hypotheses. The value of the Hubble’s constant, along with the scale of expansion, as well as the high isotropy of CMB radiation are deduced from the model.

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Degen Generalized Cylinders and Their Properties

Computer Vision – ECCV 2006 - Lecture Notes in Computer Science ◽

10.1007/11744023_7 ◽

2006 ◽

pp. 83-94

Author(s):

Liangliang Cao ◽

Jianzhuang Liu ◽

Xiaoou Tang

Keyword(s):

Generalized Cylinders

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CLASSICAL N=1 and N=2 SUPER W ALGEBRAS FROM A ZERO-CURVATURE CONDITION

International Journal of Modern Physics A ◽

10.1142/s0217751x94000182 ◽

1994 ◽

Vol 09 (03) ◽

pp. 383-398 ◽

Cited By ~ 5

Author(s):

FRANÇOIS GIERES ◽

STEFAN THEISEN

Keyword(s):

Superconformal Algebra ◽

Order System ◽

Curvature Condition ◽

First Order ◽

Zero Curvature

Starting from superdifferential operators in an N=1 superfield formulation, we present a systematic prescription for the derivation of classical N=1 and N=2 super W algebras by imposing a zero-curvature condition on the connection of the corresponding first-order system. We illustrate the procedure on the first nontrivial example (beyond the N=1 superconformal algebra) and also comment on the relation with the Gelfand-Dickey construction of W algebras.

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Noncommutative negative order AKNS equation and its soliton solutions

Modern Physics Letters A ◽

10.1142/s0217732318502097 ◽

2018 ◽

Vol 33 (35) ◽

pp. 1850209 ◽

Cited By ~ 2

Author(s):

H. Wajahat A. Riaz ◽

Mahmood ul Hassan

Keyword(s):

Nonlinear Evolution Equation ◽

Nonlinear Evolution ◽

Infinite Sequence ◽

Soliton Solutions ◽

Lax Pair ◽

Curvature Condition ◽

Integrable Structure ◽

Zero Curvature ◽

Negative Order ◽

Akns Equation

A noncommutative negative order AKNS (NC-AKNS(-1)) equation is studied. To show the integrability of the system, we present explicitly the underlying integrable structure such as Lax pair, zero-curvature condition, an infinite sequence of conserved densities, Darboux transformation (DT) and quasideterminant soliton solutions. Moreover, the NC-AKNS(-1) equation is compared with its commutative counterpart not only on the level of nonlinear evolution equation but also for the explicit solutions.

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